The Incremental Shear Modulus in an Incompressible Elastic Material.

Abstract

The incremental shear modulus is calculated for infinitesimal shear of an incompressible isotropic elastic material in a state of pure homogeneous deformation. Necessary and sufficient conditions that it be positive are obtained. These conditions are related to the Hadamard conditions for propagation of a wave of infinitesimal amplitude in the deformed material. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1978
Accession Number
ADA060453

Entities

People

  • K. N. Sawyers
  • Ronald Rivlin

Organizations

  • Lehigh University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Cartesian Coordinates
  • Constitutive Equations
  • Coordinate Systems
  • Elastic Materials
  • Equations
  • Materials
  • Mathematics
  • Military Research
  • Quadratic Equations
  • Secondary Waves
  • Shear Modulus
  • Static Pressure
  • Stationary
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

  • Structural Dynamics.